为解决串联倒摆的空气弹簧隔振器在使用过程中出现的倒摆容易偏至一侧无法回复至初始平衡位置或回复时间过长等稳定性问题，以倒摆为研究对象，在深入分析各个结构参数对倒摆稳定性影响的基础上，利用牛顿力学法建立倒摆稳定性的力学模型，通过理论分析推导出回复力和回复力矩的数学模型，再结合具体实例对该数学模型进行仿真分析，寻找影响倒摆稳定性的主要结构参数。分析结果表明，倒摆摆长和上活塞半径是影响倒摆稳定性的主要因素。
Abstract
The paper focuses on the stability problem that an inverted pendulum in an air spring vibration isolator connected in series with the inverted pendulum often moves to one side without going back to its initial equilibrium position or takes too long time to go back during use. The mechanical model for the stability of the inverted pendulum was established and the mathematical models of restoring force and restoring torque were deduced on the basis of an indepth analysis on the influence of each structure parameter of the vibration isolator on the stability of the inverted pendulum. By simulating and analyzing the mathematical models in consideration of the actual case, the main structure parameters affecting the stability of the inverted pendulum were found. The results show that the oscillating rod length of the inverted pendulum and the radius of the upper piston mainly affect the stability of the inverted pendulum.
关键词
倒摆 /
空气弹簧 /
稳定性 /
回复力 /
回复力矩
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Key words
inverted pendulum /
air spring /
stability /
restoring force /
restoring torque
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参考文献
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